The 26 students in a statistics class at the University of Florida were surveyed about their attitudes toward divorce. Each received a response score according to how many from a list of 10 possible reasons were regarded as legitimate for a woman to seek a divorce. The higher the score, the more willing the subject is to accept divorce as an option in a variety of circumstances. The students were also asked whether they were fundamentalist or non-fundamentalist in their religious beliefs and whether their church attendance frequency was frequent (more than once a month) or infrequent. The table displays the data and the results of a two-way ANOVA.
a. State the null hypothesis to which the F test statistic in the religion row refers.
b. Show how to use mean squares to construct the F test statistic for the religion main effect, report its P-value, and interpret.

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Religion Fundamentalist Non fundamentalist Church Frequent 0,3. 4, 0, 3,2,0,1,3 Infrequent 4,3,4 2.5,1,2,3, 3 6, 8,6,4, 6, 3,7,4 Attendance Source Religion Church attend Error Total sS 11.07 11.07 36.84 36.84 17.32 0.000 48.93 DF MS 5.20 0.032 23 25 2.13 117.12